4 papers
Traveling-wave behavior for Fisher-KPP equations in the hyperbolic space
MarÃa del Mar González, Irene Gonzálvez, Fernando Quirós
We study the Cauchy problem in the hyperbolic space for the heat equation with a Fisher-KPP type forcing term. Depending on the relative strength of diffusion, measured by the infi…
On the nonlocal heat equation for certain Lévy operators and the uniqueness of positive solutions
Irene Gonzálvez, Fernando Quirós, Fernando Soria +1
We develop a Widder-type theory for nonlocal heat equations involving quite general Lévy operators. Thus, we consider nonnegative solutions and look for conditions on the operator…
Finding the convex hull of a set using the flow by minimal curvature with an obstacle. A game theoretical approach
Irene Gonzálvez, Alfredo Miranda, Julio D. Rossi +1
In this paper we look for the convex hull of a set using the geometric evolution by minimal curvature of a hypersurface that surrounds the set. To find the convex hull, we study th…
The two membranes problem in a regular tree
Irene Gonzálvez, Alfredo Miranda, Julio D. Rossi
In this paper we study the two membranes problem for operators given in terms of a mean value formula on a regular tree. We show existence of solutions under adequate conditions on…